convert the following as directed .(11011011)2=.......( ) 8
Answers
Answer:
Step 1: Write down the binary number:
11011011
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x27 + 1x26 + 0x25 + 1x24 + 1x23 + 0x22 + 1x21 + 1x20
Step 3: Solve the powers:
1x128 + 1x64 + 0x32 + 1x16 + 1x8 + 0x4 + 1x2 + 1x1 = 128 + 64 + 0 + 16 + 8 + 0 + 2 + 1
Step 4: Add up the numbers written above:
128 + 64 + 0 + 16 + 8 + 0 + 2 + 1 = 219. This is the decimal equivalent of the binary number 11011011.
Explanation:
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Answer:
(011011011)2
Group all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three.
011 011 011
Step 2: Use the table below to convert each set of three into an octal digit. In this case,
011=3, 011=3, 011=3.
So, the number 333 is the octal equivalent to 11011011 in binary.
(11011011)2=.......( 333 ) 8